Centered dodecahedral number
# Centered dodecahedral number

A centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific n is given by

    $(2n+1)\left(5n^{2}+5n+1\right)$

The first such numbers are 1, 33, 155, 427, 909, 1661, 2743, 4215, 6137, 8569, … (sequence A005904 in the OEIS).

## Congruence Relations

* $CDC(n)\equiv 1{\pmod {2}}$
* $CDC(n)\equiv 1-n{\pmod {3}}$
* $CDC(n)\equiv 2n+1{\pmod {3,5,6,10}}$

vteClasses of natural numbers :

Figurate numbers :

Arithmetic functions and dynamics :

Numeral system-dependent numbers :

Mathematics portal :

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